Semiconductor nanotube in strong radial electrostatic field: Spectrum of carriers and interband transitions

In the effective-mass approximation the single-electron states in a semiconductor cylindrical nanolayer in the presence of strong lateral–radial electrical field in the regime of strong quantization are considered. The explicit form of the energy spectrum and envelope wave functions of single-electron states is obtained using variation approach. The comparison of results of analytical and numerical calculations is carried out. The corresponding absorption characteristics of interband optical transitions in the layer in the presence of strong radial field are calculated. It is shown that absorption intensity and threshold frequencies depend explicitly on geometrical sizes of sample, intensity of external field and effective masses of charge carriers.